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Finding the Fourth Proportional to 18,804, 25,950.14 and 10,306.14

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Solution

The fourth proportional to 18,804, 25,950.14 and 10,306.14 is: 14,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804 : 25,950.14 = 10,306.14 : x
  2. Step 2: Convert to fraction form
    18,804/25,950.14 = 10,306.14/x
  3. Step 3: Cross multiply
    18,804x = 25,950.14 × 10,306.14
  4. Step 4: Simplify right side
    18,804x = 267,445,775.86
  5. Step 5: Solve for x
    x = 267,445,775.86/18,804
  6. Step 6: Final answer
    x = 14,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.